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Hölder mappings of Carnot groups and intrinsic bases

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Abstract

For classes of Hölder mappings of Carnot groups and the corresponding graph mappings, a method for constructing intrinsic bases is described, which makes it possible to push forward the Hausdorff dimension of preimages to images.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia

    M. B. Karmanova

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  1. M. B. Karmanova
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Correspondence to M. B. Karmanova.

Additional information

Original Russian Text © M.B. Karmanova, 2017, published in Doklady Akademii Nauk, 2017, Vol. 472, No. 1, pp. 7–10.

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Karmanova, M.B. Hölder mappings of Carnot groups and intrinsic bases. Dokl. Math. 95, 1–4 (2017). https://doi.org/10.1134/S1064562417010033

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  • DOI: https://doi.org/10.1134/S1064562417010033

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